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20286000 = 2432537223
BaseRepresentation
bin100110101100…
…0101000110000
31102011122011100
41031120220300
520143123000
62002444400
7334266600
oct115305060
942148140
1020286000
11104a6199
126963700
134283667
1429a0c00
151baaa00
hex1358a30

20286000 has 360 divisors, whose sum is σ = 86003424. Its totient is φ = 4435200.

The previous prime is 20285989. The next prime is 20286017. The reversal of 20286000 is 68202.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 881989 + ... + 882011.

Almost surely, 220286000 is an apocalyptic number.

20286000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43001712).

20286000 is an abundant number, since it is smaller than the sum of its proper divisors (65717424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20286000 is a wasteful number, since it uses less digits than its factorization.

20286000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20286000 is about 4503.9982238007. The cubic root of 20286000 is about 272.7295151331.

The spelling of 20286000 in words is "twenty million, two hundred eighty-six thousand".